131028984576 has 864 divisors, whose sum is σ = 476061401088. Its totient is φ = 33814609920.

The previous prime is 131028984571. The next prime is 131028984623. The reversal of 131028984576 is 675489820131.

131028984576 is a `hidden beast` number, since 1 + 3 + 102 + 89 + 8 + 457 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (131028984571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1031724225 + ... + 1031724351.

It is an arithmetic number, because the mean of its divisors is an integer number (550996992).

It is a 1-persistent number, because it is pandigital, but 2⋅131028984576 = 262057969152 is not.

Almost surely, 2^131028984576 is an apocalyptic number.

131028984576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131028984576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238030700544).

131028984576 is an abundant number, since it is smaller than the sum of its proper divisors (345032416512).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131028984576 is a wasteful number, since it uses less digits than its factorization.

131028984576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 131028984576 in words is "one hundred thirty-one billion, twenty-eight million, nine hundred eighty-four thousand, five hundred seventy-six".